# SOLUTION: How many different 10-letter words (real or imaginary) can be formed from the following letters? IMWOSWMCIA

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 Question 530844: How many different 10-letter words (real or imaginary) can be formed from the following letters? IMWOSWMCIAAnswer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!```If it were IMWOSwmCiA, (where you could tell I from i, M from m, and W from w it would be 10! But since we cannot tell the difference between i and I, since they are both capital, we have to divide by 2! so as not to count iMWOSwmCIA and IMWOSwmCiA as two separate arrangements. So we take out what we consider as I-duplications and we get as the number of arrangements of IMWOSwmCIA. But since we also cannot tell the difference between m and M, we have to divide by 2! again so as not to count ImWOSwMCIA and IMWOSwmCIA as two separate arrangements. So we take out what we consider as M-duplications and we get as the number of arrangements of IMWOSwMCIA. But since we also cannot tell the difference between w and W, we have to divide by 2! again so as not to count IMwOSWMCIA and IMWOSwMCIA as two separate arrangements. So we take out what we consider as W-duplications and finally we get as the number of arrangements of IMWOSWMCIA. = = = 453600. And that's the number of distinguishable arrangements of IMWOSWMCIA. Edwin```